Los Angeles Southwest College. Mathematics Department. Math 112 Common Final Exam. Study Guide SPRING 2010

Transcription

1 Los Angeles Southwest College Mathematics Department Math 11 Common Final Exam Study Guide SPRING 010 Prepared by: Instr.B.Nash Dr. L.Saakian

2 Chapter 1 1. Divide Divide. 77. Divide Divide. 17, Write a related multiplication sentence Write a related multiplication sentence Write a related multiplication sentence Write two related division sentence Write two related division sentence Write two related division sentence Solve. Be sure to check. 1 x 1. Solve. Be sure to check. 1 t 1. Solve. Be sure to check. 1 1 m 1. Solve. Be sure to check. x 1. Solve. Be sure to check. 6x 16. Solve. Be sure to check. p Solve. Be sure to check m 18. Solve. Be sure to check. t Solve. Be sure to check. w Solve. Be sure to check. 10, 8 q 1. Evaluate.. Evaluate.. Evaluate. 7 9

3 . Evaluate. 11. Simplify. 1 (6 ) 6. Simplify. (1 6) Simplify. (0 8) 8. Simplify. ( 0) 8 9. Simplify (100 10) 0. Simplify. ( ) Simplify.. Simplify.. Simplify. 7 (10 ) ( 1) (8 9 ). Simplify. 8 9 (1 8) (10 7). Simplify. 6. Simplify. 10 ( 6 6 ) 80 1 (7 ) 7. Simplify. 8 1 { [18 (6 )]} 8. Simplify. 7 6 { [9 ( )]} 9. Simplify. [1 ( ) ] [18 (8 )] 0. Simplify. [9 (6 ) 8] [7 (8 )] 1. Natasha has $196 and wants to buy a computer workstation for $698. How much more does she need?. A beverage company packed 8 cans of soda into 1-can cartons. How many cartons did they fill?. An apartment builder bought 1 gas stoves at $ each and 1 refrigerators at $60 each. What was the total cost?. A sack of oranges weighs 7 lb. A sack of apples weighs lb. Find the total weight of 16 bags of oranges and bags of apples.. Find the average of 97, 98, 87, and 86.

4 Chapter 1. Subtract. 7. Subtract. 8. Subtract. 8 ( ). Subtract. 7. Subtract. 6 ( ) 6. Subtract. ( ) 7. Subtract. 8 ( 10) 8. Subtract. ( 6) 9. Simplify. ( 0) 0 0 ( 1) 10. Simplify. 81 ( 0) 1 ( 0) 11. Simplify. 7 ( 8) 1. Simplify. 8 ( 9) 7 1. Multiply. ( 6)( 7) 1. Multiply. 8 ( ) 1. Multiply. 1 ( 8) 16. Multiply. 19( 7)( 8) Multiply. ( 7)( 1)(7)( 6) 18. Multiply. ( 6)6( ) 19. Simplify. 0. Simplify. 1. Simplify. ( 6) ( 1)

5 . Simplify.. Simplify.. Simplify. 18 ( 1) ( ) ( ). Divide. 8 ( ) 6. Divide. ( ) 7. Divide. 100 ( 0) 8. Divide Simplify. 0 ( ) 0. Simplify. 1 ( 6) 7 1. Simplify.. Simplify ( ). Simplify Simplify Simplify. 6. Simplify. 7. Simplify. 8. Simplify (1 ) 7 (7 ) ( ) 17 10( 6) ( ) ( ) (7 1) ( ) 9. Evaluate. ( a b), for a and b 0. Evaluate. 9 t, for t 10 10

6 1. Evaluate.. Evaluate. ( F ), for F a a, for a. Write two equivalent expressions with negative signs in different places.. Write two equivalent expressions with negative signs in different places. x 1 y. Use the distributive law. (1 y ) 6. Use the distributive law. 6(x ) 7. Use the distributive law. (9x y 8 z ) 8. Use the distributive law. (a b c 9) 9. Combine like term. 9 t 7y t y 1 0. Combine like term. 8 a 9b 7a b 1 1. Combine like term.. Combine like term.. Combine like term.. Combine like term.. Combine like term. 6. Combine like term. a 7a a a x x x x 9x y xy 6xy xy x y 8x y 7x 8y a 9b a b 7a b x y x y 8x y 7. Solve. 7x 6 8. Solve. x Solve. 9 x Solve. x 61. Solve. 1 x 6. Solve. 18 x 6

7 6. Solve. 6a Solve. x Solve. x Solve. 1 x 67. Find the perimeter of a rectangular 8-ft by 10-ft bedroom. 68. Find the perimeter of a rectangular -ft by -ft doghouse. 69. Find the perimeter of a square skylight that is m on each side. 70. Find the perimeter of a 1-ft by 0-ft rectangular deck. Chapter. 1. Find the prime factorization of each number Find the prime factorization of each number. 7. Find the prime factorization of each number. 78. Find the prime factorization of each number. 11. Multiply. Don't forget to simplify Multiply. Don't forget to simplify Multiply. Don't forget to simplify Multiply. Don't forget to simplify. 9. Multiply. Don't forget to simplify Multiply. Don't forget to simplify Multiply. Don't forget to simplify. 1 1 a 6 7

8 1. Multiply. Don't forget to simplify. 1. Multiply. Don't forget to simplify. 1. Multiply. Don't forget to simplify a 99 17a Divide. Don't forget to simplify. 1 7 x 16. Divide. Don't forget to simplify Divide. Don't forget to simplify. 18. Divide. Don't forget to simplify. 19. Divide. Don't forget to simplify. 10a 60a n 8 0. Divide. Don't forget to simplify Divide. Don't forget to simplify Divide. Don't forget to simplify Divide. Don't forget to simplify

9 . Divide. Don't forget to simplify.. Simplify. 6. Simplify. 7. Simplify Solve. Don't forget to simplify. 9. Solve. Don't forget to simplify. x 9 x Solve. Don't forget to simplify. 1 x 1. Solve. Don't forget to simplify. 10x. Solve. Don't forget to simplify x 8. Solve. Don't forget to simplify. x 7 1. Solve. Don't forget to simplify a. Solve. Don't forget to simplify t 9

10 6. Solve. Don't forget to simplify. 7. Solve. Don't forget to simplify. 7 1 x a 8. The recipe for Cherry Brie Tossed Salad calls for cups of sliced almonds. How much is needed to make 1 of the recipe? 9. It takes yd of ribbon to make a bow. How much ribbon is needed to make bows? 0. A rectangular table top measures m long by m wide. What is its area? 1. If each piece of pie is 1 6 of a pie, how much of the pie is 1 of a piece?. Benny uses g of toothpaste each time he brushes his teeth. If Benny buys a 0-g tube, how many times will he be able to brush his teeth?. A piece of coaxial cable m long is to be cut into 8 pieces of the same length. What is the length of each piece?. A tanker that delivers gasoline to gas stations had 100 gal of gasoline when it was 7 8 full. How much could the tanker hold when it is full?. How many -cup cereal bowls can be filled from 10 cups of cornflakes? Chapter. 1. Find the LCM. 6, 8. Find the LCM. 81, 90. Find the LCM. 0, 0. Find the LCM.,. Find the LCM. 1,18, 0 6. Find the LCM., 6, 60 10

11 7. Find the LCM. 180,100, 0 8. Find the LCM. 7, x xy 9. Find the LCM. 10. Find the LCM. 11. Add and simplify 1. Add and simplify 1. Add and simplify 1. Add and simplify 1. Add and simplify 16. Add and simplify 17. Add and simplify 18. Add and simplify 19. Add and simplify 0. Add and simplify 1. Add and simplify. Subtract and simplify 6 r st, 8rs t m n p, 9mn p t t x x a a 11

12 . Subtract and simplify. Subtract and simplify. Subtract and simplify 6. Subtract and simplify a a Solve. 8. Solve. x x Solve. x 0. Solve. 1 t 1. Solve.. Solve. 1 t t. Solve. n Combine like term.. Combine like term. 6. Combine like term. 7. Combine like term. 1 t 7 t x 7 x 8 9 x x t t 9 1

13 8. Multiply Multiply. 0. Multiply. 1. Divide Divide.. Divide.. Divide ( 0). Kate walked 7 8 mi to the student union, and then mi to class. How far did Kate walk? 6. A recipe for muffins calls for 1 qt (quart) of buttermilk, 1 quarts of liquid ingredients does the recipe call for? qt of skin milk, and 1 16 qt of oil. How many 7. A triathlete runs 7 8 mi, canoes 1 mi, and swims 1 6 mi. How many miles does the triathlete cover? 8. For a family barbecue, Kayla bought packages of hamburger weighing total weight of the meat? 9. A plumber uses pipes of lengths 1 lb and lb. What was the 10 in. and 8 in when installing a sink. How much pipe is used? Executive Car Care sells -in. upholstery fabric for car restoration. Art buys two car projects. How many total yards Art buy? Chapter. 1. Add Add yd and 10 yd for 6 1

14 . Subtract Subtract Combine like terms..8a 1.79a 6. Combine like terms. 1.t 7.9.9t 7. Combine like terms...t 1..79t 8. Combine like terms..r.1t.6t 1.9r 9. Combine like terms x x 10. Combine like terms..8x 1.9y.7x 1.y 11. Multiply Multiply Multiply. ( 7.)(.) 1. Multiply. 69( 1.0) 1. Multiply. ( 1.)( 1.08) 16. Divide Divide Simplify. 19. Simplify. 0. Simplify. ( 0.0) (1.) [(.) 0.8] 1. Solve. Remember to check. 1..7x.0. Solve. Remember to check..x.0.1. Solve. Remember to check..9x Solve. Remember to check t. Solve. Remember to check. x 11x 6 6. Solve. Remember to check. 6.1.t 9.8( t.1) 1

15 7. Solve. Remember to check..9x x Solve. Remember to check. ( x ) 9 x 9 9. Solve. Remember to check. 9( x ) 1 x 1 0. Solve. Remember to check. (7 x) 0( x.1) 1 1. Simplify the ratio. 10 to Simplify the ratio. 0.8 to 0.6. Chapter 7.. Determine whether the two pairs of numbers are proportional: 7, 8 and 6, 7.. Solve.. Solve. 6. Solve. 7. Solve. 8. Solve. 9 7 x 10 x. 6 x y x 8 9. An ocean liner traveled km in 1 hr. At that rate, how far would the boat travel in hr? 10. A watch loses min in 10 hr. At this rate, how much will it lose in hr? 11. A drama teacher reserves 9 copies of The Complete Works of William Shakespeare for her class. If the ratio of books to students is to, how many students are in the class? 1. Fred uses gal of paint to cover 17 ft of siding. How much siding can Fred paint with 7 gal of paint? 1. A professor must grade essays in a literature class. She can grade essays in 0 min. At this rate, how long will it take her to grade all essays? 1. An 8-lb turkey breast contains 6 servings of meat. How many pounds of turkey breast would be need for servings? 1

16 Chapter Write a percent as an equivalent decimal. 67%. Write a percent as an equivalent decimal. 0.18%. Write a percent as an equivalent decimal. 7 1 % 8. Write a percent as an equivalent decimal..19%. Write a percent as an equivalent decimal. 1 9 % 8 6. Write a decimal as an equivalent percent Write a decimal as an equivalent percent. 8. Write a decimal as an equivalent percent Write a decimal as an equivalent percent Write a fraction as an equivalent percent. 11. Write a fraction as an equivalent percent. 1. Write a fraction as an equivalent percent. 1. Write a fraction as an equivalent percent. 1. Write a fraction as an equivalent percent Write a percent as an equivalent fraction. 6.% 16. Write a percent as an equivalent fraction. 17. Write a percent as an equivalent fraction. 1 % 1 8 % 18. Write a percent as an equivalent fraction..8% 16

17 19. Write a percent as an equivalent fraction. 10% 0. What is 8% of 76? 1.10% of 0 is what?. What is 6% of $00?..8% of 0 is what?. $9 is what percent of 10?. 0 is what percent of 10? 6. What percent of $00 is $10? 7. 0 is 0% of what? 8. What is 1 6 % of 10? 9. What 8.% is of $10,00? 0. Of the 9 million people in the United States, 6% are smokers. How many are smokers? 1. A lab technician has 680 ml of a solution of water and acid: % is acid. How many milliliters are acids? water?. On a test of 0 items, Christina got 91% correct. (There was partial credit on some items.) How many items did she get correct? incorrect?. In a medical study, it was determined that if 800 people kiss someone who has a cold, only 6 will actually catch a cold. What percent is this? Chapter Simplify. 6. Simplify.. Simplify. 81. Simplify. 9. Simplify Simplify. ( 11 ) 17

18 7. Simplify. 8. Simplify. 9. Simplify. 10. Simplify. 6 ( ) 6 81 ( 100 ) 11. Simplify Simplify Chapter Add.. Add.. Add.. Add.. Add. 6. Subtract. 7. Subtract. 8. Subtract. 9. Subtract. 10. Subtract. ( x y 7x y xy ) (x y x y xy ) (8a b a b 6 ab ) (a b a b a b ) (6x y x y xy ) ( x y 7x y xy ) (17. abc. a bc) (.9a bc. abc ) (.9x yz 19.7 x y z) ( 1.6x yz 8 x yz ) (8x x 1) (x x ) (1. x.x.8 x) (.x.7x ) (0.x 0.6x 0.7) (.x 1.8x.9) (9x y 8x y 7 xy) (x y x y xy ) (x y x y 7 x y) (x y x y x y ) 11. Evaluate the polynomial: 6 x for x 1. Evaluate the polynomial: 1. Evaluate the polynomial: 1. Multiply. x x 9 for x x 7x x for x 7 (9 a b )( a b ) 18

19 1. Multiply. 16. Multiply. 17. Multiply. 18. Multiply. ( a b c )( a b ) (7 x y z )(8 x z ) 6 ( x )( x )( x ) ( y )(10 y )( y ) 19. Multiply. 9 x( x 1) 0. Multiply. 1. Multiply.. Multiply.. Multiply.. Multiply.. Multiply. 6. Multiply. x ( x 1) x(x 6x 1) x(x 6x x 1) xy(x y ) 7 xy(x 6 y ) a b(a b a b ) a b (a b ab ) 19